Converting 30.25824 to a Fraction
Step-by-step explanation of how to convert 30.25824 to a fraction

Result

30.25824 =
94557
3125
Mixed number:
30
807
3125

Step 1: Identify the number of decimal places

The decimal 30.25824 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

30.25824 × 100000 = 3025824

Step 3: Write as a fraction

30.25824 =

3025824
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 3025824 and 100000.

GCD(3025824, 100000) = 32

Divide both the numerator and denominator by the GCD:

3025824
100000

=

3025824 ÷ 32
100000 ÷ 32

=

94557
3125
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